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Finding the Fourth Proportional to 10,048.80, 13,870.40 and 6,512

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Solution

The fourth proportional to 10,048.80, 13,870.40 and 6,512 is: 8,988.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.80 : 13,870.40 = 6,512 : x
  2. Step 2: Convert to fraction form
    10,048.80/13,870.40 = 6,512/x
  3. Step 3: Cross multiply
    10,048.80x = 13,870.40 × 6,512
  4. Step 4: Simplify right side
    10,048.80x = 90,324,044.80
  5. Step 5: Solve for x
    x = 90,324,044.80/10,048.80
  6. Step 6: Final answer
    x = 8,988.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.